52.3.1 General Finite Discrete Random Variable

Function: pdf_general_finite_discrete (x,v) ¶

Returns the value at x of the probability function of a general finite discrete random variable, with vector probabilities \(v\), such that Pr(X=i) = v_i. Vector \(v\) can be a list of nonnegative expressions, whose components will be normalized to get a vector of probabilities. To make use of this function, write first load("distrib").

(%i1) load ("distrib")$

(%i2) pdf_general_finite_discrete(2, [1/7, 4/7, 2/7]);
                                4
(%o2)                           -
                                7

(%i3) pdf_general_finite_discrete(2, [1, 4, 2]);
                                4
(%o3)                           -
                                7

Categories: Package distrib ·

Function: cdf_general_finite_discrete (x,v) ¶

Returns the value at x of the distribution function of a general finite discrete random variable, with vector probabilities \(v\).

See pdf_general_finite_discrete for more details.

(%i1) load ("distrib")$

(%i2) cdf_general_finite_discrete(2, [1/7, 4/7, 2/7]);
                                5
(%o2)                           -
                                7

(%i3) cdf_general_finite_discrete(2, [1, 4, 2]);
                                5
(%o3)                           -
                                7

(%i4) cdf_general_finite_discrete(2+1/2, [1, 4, 2]);
                                5
(%o4)                           -
                                7

Categories: Package distrib ·

Function: quantile_general_finite_discrete (q,v) ¶

Returns the q-quantile of a general finite discrete random variable, with vector probabilities \(v\).

See pdf_general_finite_discrete for more details.

Categories: Package distrib ·

Function: mean_general_finite_discrete (v) ¶

Returns the mean of a general finite discrete random variable, with vector probabilities \(v\).

See pdf_general_finite_discrete for more details.

Categories: Package distrib ·

Function: var_general_finite_discrete (v) ¶

Returns the variance of a general finite discrete random variable, with vector probabilities \(v\).

See pdf_general_finite_discrete for more details.

Categories: Package distrib ·

Function: std_general_finite_discrete (v) ¶

Returns the standard deviation of a general finite discrete random variable, with vector probabilities \(v\).

See pdf_general_finite_discrete for more details.

Categories: Package distrib ·

Function: skewness_general_finite_discrete (v) ¶

Returns the skewness coefficient of a general finite discrete random variable, with vector probabilities \(v\).

See pdf_general_finite_discrete for more details.

Categories: Package distrib ·

Function: kurtosis_general_finite_discrete (v) ¶

Returns the kurtosis coefficient of a general finite discrete random variable, with vector probabilities \(v\).

See pdf_general_finite_discrete for more details.

Categories: Package distrib ·

Function: random_general_finite_discrete (v)
    random_general_finite_discrete (v,m) ¶

Returns a general finite discrete random variate, with vector probabilities \(v\). Calling random_general_finite_discrete with a second argument m, a random sample of size m will be simulated.

See pdf_general_finite_discrete for more details.

(%i1) load ("distrib")$

(%i2) random_general_finite_discrete([1,3,1,5]);
(%o2)                           4

(%i3) random_general_finite_discrete([1,3,1,5], 10);
(%o3)            [3, 4, 3, 4, 4, 4, 4, 2, 4, 4]

Categories: Package distrib · Random numbers ·